SOLUTION: It took Henri 50 h of cycling to finish his bike tour. On the return trip over the same route, he increased his cycling rate by 1 mi/h and took 45 h. What was his rate on the retur

Question 944910: It took Henri 50 h of cycling to finish his bike tour. On the return trip over the same route, he increased his cycling rate by 1 mi/h and took 45 h. What was his rate on the return trip.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = his rate on the cycling tour
Let = distance of the cycling tour in miles
------------------
Equation for the tour:

Equation for return trip:

--------------------
By substitution:

----------------
His rate on the return trip was 10 mi/hr
check:

and

OK
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